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sineoko [7]
3 years ago
11

Solve for X if MN =81 A)9 B)10 C)11 D)12

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

You can see, MN consists of the three lines in the picture. So you just need to sum them tougher in an equation with it's original value 81.

5 + 3x - 8 + 4x = 81

7x = 81 + 3

7x = 84 / : 7

x = 12

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Would appreciate the help
raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

 then the measure of the angle between them is half the difference

 of the measures of their intercepted arcs

* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

  the circle

∴ The measure of the angle between them = 1/2 the difference of the

  measures of their intercepted arcs

∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

∵ The measure of the large arc is 100°

∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0
3 years ago
What is 0.37 divided to5.18
erik [133]
.37 divided to 5.18 = 14


First you move the decimals of .37 to the right and add two zeros since u moved to places to the right. Then 37 can go into 51800 14 times
3 0
3 years ago
g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

6 0
3 years ago
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
notsponge [240]

Answer: $265

Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.

Hope this helps!

7 0
2 years ago
Evaluate the algebraic expression 3f + g,when f = 6, g = 8, h = 12 and j = 2. A. 30 B. 26 C. 17 D. 13
Komok [63]

Answer: A.26

Step-by-step explanation:

= 3f+g

= 3 (6)+8

=26

6 0
3 years ago
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